Greatest Common Factor of 10210 and 10218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 10210, 10218 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10210 and 10218 is 2.

GCF(10210,10218) = 2

GCF of 10210 and 10218

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 10210 and 10218

GCF of 10210 and 10218 is 2

Prime Factorization of 10210


2 10210
5 5105
1021 1021
1

Prime factors of 10210 are 2,5,1021. Prime factorization of 10210 in exponential form is:

10210 = 21×51×10211

Prime Factorization of 10218


2 10218
3 5109
13 1703
131 131
1

Prime factors of 10218 are 2,3,13,131. Prime factorization of 10218 in exponential form is:

10218 = 21×31×131×1311

∴ So by taking common prime factors GCF of 10210 and 10218 is 2

Greatest Common Factor of 10210 and 10218 by matching factors method

Factors of 10210

List of positive integer factors of 10210 that divides 10210 without a remainder.

1,2,5,10,1021,2042,5105,10210

Factors of 10218

List of positive integer factors of 10218 that divides 10218 without a remainder.

1,2,3,6,13,26,39,78,131,262,393,786,1703,3406,5109,10218

Greatest Common Factor

We found the factors and prime factorization of 10210 and 10218. The biggest common factor number is the GCF number.
So the greatest common factor 10210 and 10218 is 2.

Also check out the Least Common Multiple of 10210 and 10218

Properties of GCF 10210 and 10218

(i) The GCF of 10210 and 10218 is associative

GCF of 10210 and 10218 = GCF of 10218 and 10210

Related Greatest Common Factor of 10210

Related Greatest Common Factor of 10218

Frequently Asked Questions on GCF of 10210 and 10218

1. What is the GCF of 10210 and 10218?

Answer: GCF of 10210 and 10218 is 2.

2. What are the Factors of 10210?

Answer: Factors of 10210 are 1, 2, 5, 10, 1021, 2042, 5105, 10210. There are 8 integers that are factors of 10210. The greatest factor of 10210 is 10210.

3. What are the Factors of 10218?

Answer: Factors of 10218 are 1, 2, 3, 6, 13, 26, 39, 78, 131, 262, 393, 786, 1703, 3406, 5109, 10218. There are 16 integers that are factors of 10218. The greatest factor of 10218 is 10218.

4. How to Find the GCF of 10210 and 10218?

Answer:

Greatest Common Factor of 10210 and 10218 = 2

Step 1: Find the prime factorization of 10210

10210 = 2 x 5 x 1021

Step 2: Find the prime factorization of 10218

10218 = 2 x 3 x 13 x 131

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 10210 and 10218 is 2